Suppose that we want to estimate the mean reading speed of second graders. The random sample of students' reading speeds we choose has a mean of 29.5 words per minute and a standard deviation of 3.3 words per minute. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, z refers to a variable having a standard normal distribution, and , refers to a variable having a t distribution.) could use either Z or unclear Sampling Scenario (1) The sample has size 16, and it is from a population with a distribution about which we know very ittle. (2) The sample has size 20, and it is from a normaly distributed population with unknown standard deviation. (3) The sample has size 80, and it is from a non- normaly distributed population.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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O CONFIDENCE INTERVALS AND HYPOTHE
Selecting a distribution for.
Suppose that we want to estimate the mean reading speed of second
graders. The random sample of students' reading speeds we choose has
a mean of 29.5 words per minute and a standard deviation of 3.3 words per
minute. For each of the following sampling scenarios, determine which
test statistic is appropriate to use when making inference statements
about the population mean.
(In the table, z refers to a variable having a standard normal
distribution, and i refers to a variable having at distribution.)
could use
either Z or unclear
Sampling Scenario
t
(1) The sample has size 16, and it is from a
population with a distribution about which we know
very little.
(2) The sample has size 20, and it is from a
normally distributed population with unknown
standard deviation.
(3) The sample has size 80, and it is from a non-
normaly distributed population.
(4) The sample has size 75, and it is from a non-
normally distributed population with a known
standard deviation of 3.3.
(5) The sample has size 17, and it is from a
normaly distributed population with a known
standard deviation of 3.3.
?
Explanation
Check
H Education. All Rights Reserved. Terms of Use Privacy Accessibility
Transcribed Image Text:8:22 AA www-awn.aleks.com O CONFIDENCE INTERVALS AND HYPOTHE Selecting a distribution for. Suppose that we want to estimate the mean reading speed of second graders. The random sample of students' reading speeds we choose has a mean of 29.5 words per minute and a standard deviation of 3.3 words per minute. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. (In the table, z refers to a variable having a standard normal distribution, and i refers to a variable having at distribution.) could use either Z or unclear Sampling Scenario t (1) The sample has size 16, and it is from a population with a distribution about which we know very little. (2) The sample has size 20, and it is from a normally distributed population with unknown standard deviation. (3) The sample has size 80, and it is from a non- normaly distributed population. (4) The sample has size 75, and it is from a non- normally distributed population with a known standard deviation of 3.3. (5) The sample has size 17, and it is from a normaly distributed population with a known standard deviation of 3.3. ? Explanation Check H Education. All Rights Reserved. Terms of Use Privacy Accessibility
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